Surface Green function matching for symmetric structures: optical phonons in a double barrier structure

A surface Green function matching (SGFM) analysis is formally developed for planar multilayer structures having mirror image symmetry so that (i) matching is effected at only one half of the interfaces and (ii) even and odd solutions are obtained separately from different factorised SGFM problems fo...

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Bibliographic Details
Published inSurface science Vol. 371; no. 2; pp. 455 - 467
Main Authors Pérez-Alvarez, R., García-Moliner, F., Rodriguez-Coppola, H., Velasco, V.R.
Format Journal Article
LanguageEnglish
Published Lausanne Elsevier B.V 01.02.1997
Amsterdam Elsevier Science
New York, NY
Subjects
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Green's function methods
Lattice dynamics
Low-dimensional structures (superlattices, quantum well structures, multilayers): structure, and nonelectronic properties
Phonons
Phonons in low-dimensional structures and small particles
Physics
Quantum wells
Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties)
Green's function methods
Quantum wells
Phonons
Resonant tunnel effect
Optical phonons
Theoretical study
Double barrier structure
Green function
Heterostructures
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Summary:A surface Green function matching (SGFM) analysis is formally developed for planar multilayer structures having mirror image symmetry so that (i) matching is effected at only one half of the interfaces and (ii) even and odd solutions are obtained separately from different factorised SGFM problems for each parity. This may be very useful in avoiding problems of numerical resolution when eigenvalues of opposite parity are closely spaced. The practical usefulness of the factorised SGFM method is demonstrated by applying it to the study of long wave polar optical phonons in a GaAs-based A-B-A-B-A double barrier resonant tunnelling structure and this is compared with the corresponding simple quantum well B-A-B in which the B barriers are semi-infinite. The results show some interesting features and indicate that, depending on design parameters, the long range electrostatic coupling across even fairly thick barriers may have strong effects on the electrical spectral strength of the modes, which should affect significantly the electron-phonon interaction
ISSN:0039-6028
1879-2758
DOI:10.1016/S0039-6028(96)01016-3